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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2302.09892 |
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| _version_ | 1866914679338565632 |
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| author | Cimino, Lorenzo Chevalier, Cyrille Carlier, Ethan Viseur, Joachim |
| author_facet | Cimino, Lorenzo Chevalier, Cyrille Carlier, Ethan Viseur, Joachim |
| contents | The envelope theory is an easy-to-use approximation method to obtain eigensolutions for some quantum many-body systems, in particular in the domain of hadronic physics. Even if the solutions are reliable and an improvement procedure exists, the method can lack accuracy for some systems. In a previous work, two hypotheses were proposed to explain the low precision: the presence of a divergence in the potential or the lack of a variational character for peculiar interactions. In the present work, different systems are studied to test these hypotheses. These tests show that the presence of a divergence does indeed cause less accurate results, while the lack of a variational character reduces the impact of the improvement procedure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_09892 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Accuracy Tests of the Envelope Theory Cimino, Lorenzo Chevalier, Cyrille Carlier, Ethan Viseur, Joachim Quantum Physics The envelope theory is an easy-to-use approximation method to obtain eigensolutions for some quantum many-body systems, in particular in the domain of hadronic physics. Even if the solutions are reliable and an improvement procedure exists, the method can lack accuracy for some systems. In a previous work, two hypotheses were proposed to explain the low precision: the presence of a divergence in the potential or the lack of a variational character for peculiar interactions. In the present work, different systems are studied to test these hypotheses. These tests show that the presence of a divergence does indeed cause less accurate results, while the lack of a variational character reduces the impact of the improvement procedure. |
| title | Accuracy Tests of the Envelope Theory |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2302.09892 |